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Finding the Fourth Proportional to 301,996.42, 452,993.28 and 77,356.42

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Solution

The fourth proportional to 301,996.42, 452,993.28 and 77,356.42 is: 116,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,996.42 : 452,993.28 = 77,356.42 : x
  2. Step 2: Convert to fraction form
    301,996.42/452,993.28 = 77,356.42/x
  3. Step 3: Cross multiply
    301,996.42x = 452,993.28 × 77,356.42
  4. Step 4: Simplify right side
    301,996.42x = 35,041,938,424.86
  5. Step 5: Solve for x
    x = 35,041,938,424.86/301,996.42
  6. Step 6: Final answer
    x = 116,034.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.